100201222210221 has 48 divisors (see below), whose sum is σ = 159864755319360. Its totient is φ = 59970219912960.

The previous prime is 100201222210211. The next prime is 100201222210249. The reversal of 100201222210221 is 122012222102001.

It is a happy number.

100201222210221 is a `hidden beast` number, since 1 + 0 + 0 + 201 + 22 + 221 + 0 + 221 = 666.

It is not a de Polignac number, because 100201222210221 - 2¹¹ = 100201222208173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201222210194 and 100201222210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201222210211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16220035 + ... + 21528863.

It is an arithmetic number, because the mean of its divisors is an integer number (3330515735820).

Almost surely, 2^{100201222210221} is an apocalyptic number.

100201222210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201222210221 is a deficient number, since it is larger than the sum of its proper divisors (59663533109139).

100201222210221 is a wasteful number, since it uses less digits than its factorization.

100201222210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5311226 (or 5311223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100201222210221 its reverse (122012222102001), we get a palindrome (222213444312222).

The spelling of 100201222210221 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty-one".